Given n digits from '1' to '9', you can add k '+' to turn it into an expression. Find the minimum value of the expression.
There are multiple test cases.
The first line of the input contains one integer T (1≤T≤2⋅104) --- the number of test cases.
For each test case:
The first line contains two integers n (2≤n≤2⋅105) and k (1≤k≤6, k\<n) --- the number of digits and the number of '+'.
The second line contains a string of length n, which consists of digits from '1' to '9'.
The sum of n over all test cases does not exceed 2⋅105.
For each test case, output the answer in one line.